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Finding the Fourth Proportional to 4,213.92, 5,802 and 3,583.20

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Solution

The fourth proportional to 4,213.92, 5,802 and 3,583.20 is: 4,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.92 : 5,802 = 3,583.20 : x
  2. Step 2: Convert to fraction form
    4,213.92/5,802 = 3,583.20/x
  3. Step 3: Cross multiply
    4,213.92x = 5,802 × 3,583.20
  4. Step 4: Simplify right side
    4,213.92x = 20,789,726.40
  5. Step 5: Solve for x
    x = 20,789,726.40/4,213.92
  6. Step 6: Final answer
    x = 4,933.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.